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Finding the Third Proportional to 31,713.75 and 58,299.75

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Solution

The third proportional to 31,713.75 and 58,299.75 is: 107,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,713.75 : 58,299.75 = 58,299.75 : x
  2. Step 2: Convert to fraction form
    31,713.75/58,299.75 = 58,299.75/x
  3. Step 3: Cross multiply
    31,713.75x = 58,299.75 × 58,299.75
  4. Step 4: Simplify right side
    31,713.75x = 3,398,860,850.06
  5. Step 5: Solve for x
    x = 3,398,860,850.06/31,713.75
  6. Step 6: Final answer
    x = 107,173.10

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.